The 57-year-old actor's wife Kayte gave birth to their daughter Faith last month but the actor is already thinking of expanding his family even further, reported Access Hollywod.
"I think we'll have at least two more, if not three or four. I think it's a great way to live a life," Grammer said.
The actor has 28-year-old daughter Spencer with first wife Doreen Alderman, daughter Greer, 20, with former girlfriend Barrie Buckner, daughter Mason 10, and son Jude, seven, with third spouse Camille Donatacci.
He said that he is a more hands-on father with Faith than he was with her elder half-siblings and is even happy to change her diapers.
"I think I'm more available than I had been previously. I'm there, more present with the child," he added.